Infinitely many bounded solutions for the p-Laplacian with nonlinear boundary conditions

被引：0

作者：

Francesca Faraci

Antonio Iannizzotto

Csaba Varga

机构：

[1] University of Catania,Department of Mathematics and Computer Sciences

[2] Babeş-Bolyai University,Faculty of Mathematics and Computer Sciences

来源：

Monatshefte für Mathematik | 2011年 / 163卷

关键词：

-Laplacian; Nonlinear boundary conditions; Infinitely many solutions; Critical points; 35J20; 35J65;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

By applying a method due to Saint Raymond, we prove the existence of infinitely many weak solutions for a quasilinear elliptic partial differential equation, involving the p-Laplacian operator, coupled with a nonlinear boundary condition. Our main assumption is a suitable oscillatory behaviour of the nonlinearity either at infinity or at zero.

引用

页码：25 / 38

页数：13

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